Young children have been taught simple sequences of alternating shapes and colors, referred to as "patterning", for the past half century in the hope that their understanding of pre-algebra and their mathematics achievement would be improved. The evidence that such patterning instruction actually improves children's academic achievement…

Educational philosophy in elementary and secondary schools has often centered on creating a "product," full of content knowledge and basic skills (Bagby, 2002). However, no longer is academic achievement in the classroom considered the sole gauge of lifelong success. Meltzer (2010) suggested that the development of executive functioning skills…